-x/9=1/16

This is suppose to be solved using the multiplication principle. If possible please show me not just the answer but how you came up with it so I understand how to do these problems. Thank you

multiply both sides by 144 (which is 9 x 16)

(144)(-x/9)=(144)(1/16)
16(-x) = 9(1)
-16x = 9
x = /9/16

you could just 'cross-multiply' to get the same result faster:
(-x)(16) = 1(9)
x = -9/16

In general find the lowest common denominator of your fractions, and multiply each term by that.
This will guarantee that all your denominators will cancel, and your fractions will disappear.

To solve the given equation: -x/9 = 1/16 using the multiplication principle, we need to isolate the variable x.

Here's the step-by-step solution:

1. Multiply both sides of the equation by 9 to eliminate the fraction by the variable:
-x/9 * 9 = 1/16 * 9
This simplifies to:
-x = 9/16

2. To solve for x, we need to get rid of the negative sign in front of x. Multiply both sides of the equation by -1:
-x * -1 = (9/16) * -1
This simplifies to:
x = -9/16

So the solution to the equation -x/9 = 1/16 is x = -9/16.

By using the multiplication principle, we effectively eliminated the fraction by multiplying both sides of the equation by the same value (9 in this case) to maintain equality.